Sets and Classes as Many |
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Authors: | John L. Bell |
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Affiliation: | (1) Department of Philosophy, University of Western Ontario Talbot College, London, Ontario, Canada, N6A 3K7 |
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Abstract: | In this paper the view is developed that classes should not be understood as individuals, but, rather, as classes as many of individuals. To correlate classes with individuals labelling and colabelling functions are introduced and sets identified with a certain subdomain of the classes on which the labelling and colabelling functions are mutually inverse. A minimal axiomatization of the resulting system is formulated and some of its extensions are related to various systems of set theory, including nonwellfounded set theories. |
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Keywords: | set class individuals label colabel nonwellfounded set theory |
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